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Finding the Fourth Proportional to 12,894.84, 17,789.76 and 7,581.24

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Solution

The fourth proportional to 12,894.84, 17,789.76 and 7,581.24 is: 10,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.84 : 17,789.76 = 7,581.24 : x
  2. Step 2: Convert to fraction form
    12,894.84/17,789.76 = 7,581.24/x
  3. Step 3: Cross multiply
    12,894.84x = 17,789.76 × 7,581.24
  4. Step 4: Simplify right side
    12,894.84x = 134,868,440.10
  5. Step 5: Solve for x
    x = 134,868,440.10/12,894.84
  6. Step 6: Final answer
    x = 10,459.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.